8009487360 has 880 divisors, whose sum is σ = 34240250880. Its totient is φ = 1751777280.

The previous prime is 8009487349. The next prime is 8009487371. The reversal of 8009487360 is 637849008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8009487349) and next prime (8009487371).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89994196 + ... + 89994284.

It is an arithmetic number, because the mean of its divisors is an integer number (38909376).

Almost surely, 2^8009487360 is an apocalyptic number.

8009487360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8009487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17120125440).

8009487360 is an abundant number, since it is smaller than the sum of its proper divisors (26230763520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8009487360 is a wasteful number, since it uses less digits than its factorization.

8009487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8009487360 is about 89495.7393399261. The cubic root of 8009487360 is about 2000.7903010044.

The spelling of 8009487360 in words is "eight billion, nine million, four hundred eighty-seven thousand, three hundred sixty".